34. Write an equation that represents the set of points that are 9 units from (-4, 16).

Q: Suppose g(x) is differentiable at x = 8, g(8)= -2, and g'(8) = 3. Select all statements that must be…

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Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = 0

A: We have to find the general solution of the given second order differential equation.

Q: Given the following limit, select all statements that must be true. lim h→0 f(−3+ h) − f(−3) h = 9

A: Given: Let us assume x=-3+h⇒h=x+3. So,

Q: Use the table of function values to evaluate 1 2 X f(x) f'(x) 1 g(x) 6 g'(x) 3 2 3 1 4 -5 d f(x) dx…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Given the following limit, select all statements that must be true. lim h→0 f(−8+ h) − f(−8) h…

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Q: After t hours of operation, an assembly line has assembled A(t) = 20t - 12 t2 power lawn mowers, 0 ……

A: Given: Function to determine number of units produced in t hours: A(t)=20t-12t2. Cost of…

Q: 1. A cylindrical water tank with depth of 4 feet and radius of 8 feet has one circular base on the…

A: We need to find work.

Q: Sammy is in 4th grade. He came home from school very confused regarding something his math teacher…

A: Concept: Here the teacher has given a statement that if the value of x increases Then the value of…

Q: Write the equation in the form (x – h) + (y – k)² = ?, and identify the solution set. * + y - 14y +…

A: Given, x2+y2-14y+49=0

Q: Given A= 2 -3 -4 -48 -7 6 -5 14 -69-12 (1) (a) Using elementary row operations, convert A into an…

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Q: Da¹b5 □ (a¹65) = Da bi (a¹65)7 ab

A: See the details solution in below

Q: Evaluate. (5z – 4)sin(4x – 9) dx = dz

A: Integration by parts ∫uv=u∫v-∫u'∫v   whrer  u and v are functions.

Q: Consider g(x, y, z) = ey² + 2y - yArcsinz (a) Find the three (first-order) partial derivatives of g.…

A: Given that , gx,y,z=exyz+2xy-ysin-1z

Q: Skill Practice 3 Determine if the given relation defines y as a function of x. а. b. с. 4 3 3 3 2 2…

A: Perform vertical line test to determine if the given relation defines y as a function of x.…

Q: Find dy dx dy dx if y = = x³ + 4x + 7 x² + 1

A:

Q: Find Vz. 6x + 7y - 7y 6x NOTE: Give your answer in unit vector notation; that is, in terms of i and…

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Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r = 4…

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Q: t the point (3, 0, 91). z=e¹ + x + x² +6

A: To find the equation of tangent plane.

Q: 1, 3 8 15 24 ..) 4'9' 16' 25'**

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

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Q: Find the domain of function defined as follows.

A: Given, y=3x-4x

Q: 3. Find the endpoints of the minor axis for (x-h)² 6² an ellipse having the equation (y-k)² a² = 1 +

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Q: Find the 20th derivative of y = cos(2x).

A: y=cos(2x)

Q: Determine the area between the curves x= y^2 + 1,x= 5,y= −3,y= 3.

A: Find shaded area

Q: f(x) = Use the limit definition of the derivative to find (1) ƒ'(-3) = (ii) ƒ'(-1) = (iii) f'(2) =…

A: derivative of  fx=1x-1, using limit definition

Q: B. Eliminate all the arbitrary constant/s present in the equations. 1. y = ax²+bx+c 2. 2₁ 42² - 2y²…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: 4 34 feet long ladder ladder is leaning is leaning against a vertical wall at a rate of 8 feet per…

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Q: Bank account A $200 investment in a savings account grows according to A1t2 = 200e0.0398t, for t Ú…

A: Given function: A(t)=200e0.0398t, t≥0, where is measured in years. A(0)=200, initial balance   a. To…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is: fx,y,z=xyz And the constraint is: x2+y2+z2=243   ...(1) Let,…

Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 M P 1 PT N 7 4 f(x)= 311 I 51…

A: Topic- Graph of a trigonometric functions. we are given graph of a function and we have to write it…

Q: Let us summarize continuity of a function at x=a (where 'a' is a value in the domain of the…

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Q: Describe what it means to raise a number to a power. In your description, include a discussion of…

A: Concept used: Basic power rule Raising power denotes the repeated multiplication of the integer.

Q: Consider the integral [(In 2)" dar. To use integration by parts, we might let u= Olnz dz (In z)" and…

A: Given data÷ Consider the integral  ∫lnxndx

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Find an equation of the line tangent to the following curves at the given value of x. b. Use a…

A: equation of tangent line to the curve y=4sinxcosx at  x=π3

Q: -x²+x-1 x² +10 Give your answer as an integer or a fraction. If the limit does not exist, type DNE.…

A: The given limit is: limx→∞-x2+x-1x2+10

Q: V3 67. Verify that the points A(0, 0), B(x, 0), and C 2 make up the vertices of an equilateral…

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Q: of a function at x=a (where 'a' is a value in the domain of the eck to confirm continuity? Click all…

A: We can prove it by the definition of continuity of a function f(x) at any point x=a

Q: If Tyler needs to have $1 7000 to buy a car in 4 years, how much money would he have to place into…

A: tyler needs=$17000 t=4year r=5% principle  amount ?

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

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Q: Discuss the continuity of the function on the closed interval. g(x)=√√8-x³, [-2, 2] O The function…

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Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: The standard form of a quadratic function is f(x)=ax2+bx+c where a,b,c∈ℝ.(i) Graph of f(x) opens…

Q: Complete the following statement: If dy/dx is small, then small changes in x result in relatively…

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Q: Use the method of disks, washers, or shells to find the volume of the solid obtained by rotating the…

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Q: Find dy/dx by implicit differentiation. 7x^2 + 9xy − y^2 = 7

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Q: Solve the given differential equation by separation of variables. ds dr = kS

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Q: To treat arrhythmia (irregular heartbeat), a drug is fed intravenously into the bloodstream. Suppose…

A: Here we have to use the basic concept of alegbra.

Q: Use the method of disks, washers, or shells to find the volume of the solid obtained by rotating the…

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Q: Trigonometric limits Evaluate the following limits or state that they do not exist.

A: We will use the formula:-limy→0sin yy=1.let y=ax then limx→0sin axax=1